Chapter 6, Exploration 16
Use the graph below of the function \(x_{n+1} = f_4(x_n) = 4x_n(1 − x_n)\). Explore the graphical analysis for several initial conditions \(x_0 \in [0, 1]\). Do you observe any periodic behavior? Is there a pattern?
Use the graph below of the function \(x_{n+1} = f_4(x_n) = 4x_n(1 − x_n)\). Explore the graphical analysis for several initial conditions \(x_0 \in [0, 1]\). Do you observe any periodic behavior? Is there a pattern?